Information on Result #704416
Linear OA(3103, 728, F3, 26) (dual of [728, 625, 27]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,367}, and designed minimum distance d ≥ |I|+1 = 27
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3103, 502, F3, 2, 26) (dual of [(502, 2), 901, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3103, 502, F3, 3, 26) (dual of [(502, 3), 1403, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3103, 502, F3, 4, 26) (dual of [(502, 4), 1905, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3103, 502, F3, 5, 26) (dual of [(502, 5), 2407, 27]-NRT-code) | [i] | ||
| 5 | Digital (77, 103, 502)-net over F3 | [i] | ||
| 6 | Linear OA(3116, 774, F3, 26) (dual of [774, 658, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3111, 742, F3, 28) (dual of [742, 631, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(3139, 777, F3, 32) (dual of [777, 638, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(3137, 774, F3, 32) (dual of [774, 637, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(3136, 772, F3, 32) (dual of [772, 636, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(3149, 783, F3, 33) (dual of [783, 634, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(3150, 783, F3, 34) (dual of [783, 633, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(3148, 781, F3, 33) (dual of [781, 633, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(3149, 781, F3, 34) (dual of [781, 632, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(3146, 778, F3, 33) (dual of [778, 632, 34]-code) | [i] | ✔ | |